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Finding the Fourth Proportional to 228.83, 341.77 and 207.12

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Solution

The fourth proportional to 228.83, 341.77 and 207.12 is: 309.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.83 : 341.77 = 207.12 : x
  2. Step 2: Convert to fraction form
    228.83/341.77 = 207.12/x
  3. Step 3: Cross multiply
    228.83x = 341.77 × 207.12
  4. Step 4: Simplify right side
    228.83x = 70,786.88
  5. Step 5: Solve for x
    x = 70,786.88/228.83
  6. Step 6: Final answer
    x = 309.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.